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Finding the Fourth Proportional to 56,915.80, 85,373.70 and 21,856.30

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Solution

The fourth proportional to 56,915.80, 85,373.70 and 21,856.30 is: 32,784.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,915.80 : 85,373.70 = 21,856.30 : x
  2. Step 2: Convert to fraction form
    56,915.80/85,373.70 = 21,856.30/x
  3. Step 3: Cross multiply
    56,915.80x = 85,373.70 × 21,856.30
  4. Step 4: Simplify right side
    56,915.80x = 1,865,953,199.31
  5. Step 5: Solve for x
    x = 1,865,953,199.31/56,915.80
  6. Step 6: Final answer
    x = 32,784.45

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.